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Finding the Third Proportional to 384,994 and 839,868

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Solution

The third proportional to 384,994 and 839,868 is: 1,832,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,994 : 839,868 = 839,868 : x
  2. Step 2: Convert to fraction form
    384,994/839,868 = 839,868/x
  3. Step 3: Cross multiply
    384,994x = 839,868 × 839,868
  4. Step 4: Simplify right side
    384,994x = 705,378,257,424
  5. Step 5: Solve for x
    x = 705,378,257,424/384,994
  6. Step 6: Final answer
    x = 1,832,179.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.